Towards a simple, comprehensive model of regular earthquakes and slow slip events, part I: one-dimensional model

Abstract: We have developed a model that describes the major characteristics of a rupture, ranging from regular earthquakes (EQs) to slow slip events (SSEs), including episodic tremor and slip (ETS). Previous model predictions, while accurate, are based on a highly idealized initial stress distribution and a simple velocity-dependent expression for friction. The full scope of the model has, therefore, not been fully demonstrated. Further developments, presented here, include more physically realistic treatments of both the initial conditions and friction. Model predictions are: (1) The type of a seismic event, i.e. regular EQ or SSE, is determined by the fault strength, the shear to normal stress ratio, and the gradient in the ratio. Quantitative values for these crucial parameters are also obtained here; (2) Rupture velocities for regular EQs range from a fraction of the shear wave velocity up to the supershear velocity. The maximum slip velocity for regular EQs is typically on the order of 1 m/s. For SSEs, the slip velocity ranges widely from a few cm/year up to 0.1 m/s. The magnitude of the stress drop may vary in the range from 1% to 10% of the initial shear stress for regular EQs and from 0.1% to 10% for the SSEs; (3) The rupture can expend as a crack-like mode or as a self-healing pulse mode. The type of rupture mode is determined by the stress ratio and its gradient. If stress heterogeneity has a step-like shape, the rupture is always crack-like. If the heterogeneity is localized, the rupture is crack-like for sufficiently large values of the stress and its gradient and is pulse-like for smaller values; (4) After an instability develops, rupture dynamics do not depend on the relative values of the rate-state a and b parameters, i.e., it does not matter if frictional sliding is velocity-weakening or velocity-strengthening. Models based on the rate-state are not consistent with this result.